A certain computing task takes on average hours to run on a high performance computing cluster. Thirty independent experiments took the following amounts of time in hours: 2.70 2.89 2.57 2.43 2.23 1.67 2.51 2.91 1.99 2.20 2.27 3.02 2.10 2.63 2.38 2.64 1.99 2.47 2.33 3.02 2.08 2.81 2.28 2.59 2.24 2.76 2.22 2.34 2.46 3.14 You want to test the hypothesis , at a 5% significance level. It is known that the standard deviation of runtimes is 0.3 hours. (a) Find the critical region for this test and decide whether or not you reject . (Hint: you may use the following -score corresponding to the probability 0.025 and 1-0.025

answer: kljdcdhjbdlchjad oac apoich a

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

r = 78539458390583095803458309458039485093485 or just 3

step-by-step explanation: